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Finding the Third Proportional to 58,367 and 89,009

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Solution

The third proportional to 58,367 and 89,009 is: 135,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,367 : 89,009 = 89,009 : x
  2. Step 2: Convert to fraction form
    58,367/89,009 = 89,009/x
  3. Step 3: Cross multiply
    58,367x = 89,009 × 89,009
  4. Step 4: Simplify right side
    58,367x = 7,922,602,081
  5. Step 5: Solve for x
    x = 7,922,602,081/58,367
  6. Step 6: Final answer
    x = 135,737.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.